The radius of the base of a cone is increasing at the rate of 3 cm/minute and the altitude is decreasing at the rateof 4 cm/minute. The rate of change of lateral surface when the radius = 7cm and altitude 24 cm is

The radius of a cone is decreasing at a constant rate of 6 feet per second, and the volume is increasing at a rate of 42 cubic feet per second. At the instant when the height of the cone is 33 feet and the volume is 246 cubic feet, what is the rate of change of the height? The volume of a cone can be found with the equation V, equals, one third, pi, r, squared, h, .V= 31​ πr 2 h. Round your answer to three decimal places.

The slant height of a cone is increased by 10% and its radius is doubled. What is the percentage increase in the surface area of the cone?

Determine the approximate total surface area of a cone of height 7 cm and base radius 24 cm.(Take: = 22/7).  Ops:   A. 3680 cm2    B. 3710 cm2    C. 3717 cm2    D. 3696 cm2

Find the volume of the cone below if the radius r = 24 cm and the height h = 34 cm (Round your answer to the nearest tenth.)

Water is pouring into an inverted cone at the rate of 8 cubic feet per minute. If the height of the cone is 12 feet and the radius of its base is 6 feet, how fast is the water level rising when the water is 4 feet deep? If there is a small hole at the bottom of the cone so that when water is pouring into the cone at the rate of 8 cubic ft per minute, water is also leaving from the bottom hole at the rate of 2 cubic ft per minute. How fast is the water rising when the water reaches 4 ft deep?